Definition:Pencil of Spheres

Definition

Let $\CC$ be a circle in space.

The pencil of spheres through $\CC$ is the set of spheres $\SS$ such that $\CC$ lies entirely on the surface of $\SS$.

Also see

• Results about pencils can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): pencil
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): pencil